# Constraint for the weighted return

October 29, 2020
###### Marketing Communications Plan
October 29, 2020

Use the table below to answer the following question(s).

Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired \$750,000 from an inheritance. Characteristics of the funds are given in the table below.

 ​ Qualis Mutual Fund Data ​ ​ ​ ​ Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Multinational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced Fund 3.50% 6.91

The company recommends that no more than \$300,000 be invested in any individual fund, and that at least \$80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively.

Which of the following is the constraint for the weighted return?

 ( 7.23 X1 + 8.42 X2 + 6.66 .X3 + 2.72 X4 + 8.89 X5 + 3.5 X6 ) / 750,000 7.23 X1 + 8.42 X2 + 6.66 .X3 + 2.72 X4 + 8.89 X5 + 3.5 X6 ≥ 6.00 X1 + X2 + X3 + X4 + X5 + X6 = 750,000 ( 7.23 X1 + 8.42 X2 + 6.66 .X3 + 2.72 X4 + 8.89 X5 + 3.5 X6 ) / 750,000 ≥ 6.00
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